MAT 447, Seminar in Mathematics, Fall 2015
Instructor
Prof. Kasra RafiOffice: BA 6188 (Bahen Centre)
Email: rafi@math.toronto.edu
Meetings
Tuesdays 5 - 8 in BA 6183Office hours
Tuesdays 4 - 5 pm or by appointment.Textbook
Introduction to Dynamical Systems by Michael Brin and Garrett StuckCambridge University press (2003)
Other references will be added throughout the course.
Course description
The purpose of this course is for the sudents to get some experince in reading, comprehending and presenting mathematics. To make the course more coherent, we start by focusing on one topic, namely the study of dynamical systems. However, in the second semester, the scope of the course can be widened as we shall focus on individual systems that are of interests to students or related topics.
Prerequisite
MAT347Y1, MAT354H1, MAT357H1.Presentation schedule
| Date | Presenters | Topic |
|---|---|---|
| September 15 | Kasra Rafi | Examples and Basic concepts |
| September 22 | Michael Yu | Problem 1.2.2 |
| Freid Tong | Section 1.5 | |
| Mathew Sunohara | Section 1.6 | |
| September 29 | Dong Wei | Section 1.8 |
| Pratyush Sarkar | Section 1.9 | |
| September 30 | Aleksey Van Leeuwarden Robert Capozzolo |
Section 2.1 |
| October 6 | David Pechersky | Section 2.2 |
| October 7 | Dang Nguyen | Sections 2.3 |
| October 13 | Christopher Kennedy | Section 2.4 |
| Theo Van Den Hurk | Section 2.5 | |
| October 14 | Theo Van Den Hurk Gideon Providence |
Section 2.5 |
| October 20 | Aleksey Van Leeuwarden | Counter examples for section 2.1 |
| Gideon Providence | Problem 2.5.7 | |
| Tianchen Zhao | Section 2.6 | |
| October 21 | Jiayue Huang | Section 2.6 |
| October 27 | Mathew Sunohara | Section 3.1 |
| October 28 | Xiao Zhao | Section 3.2 |
| November 3 | Freid Tong | Section 3.3 |
| November 4 | Michael Yu | Section 3.4 |
| November 11 | Dang Nguyen | Section 4.2 |
| November 17 | David Pechersky | Section 4.3 |
| November 17 | Dong Wei | Section 4.4 |
| November 18 | Robert Capozzolo | Section 4.5 |
| November 24 | Jiayue Huang | Section 4.5 cont. |
| November 24 | Tianchen Zhao | Section 4.6 |
| November 25 | Pratyush Sarkar | Section 4.7 |
| December 1 | Xiao Zhao | Section 4.7 |
| December 2 | Christopher Kennedy | Section 4.8 |
| December 8 | Gideon Providence | Sarnak Conjecture |
| January 12 | Aleksey Van Leeuwarden | Section 9.1 |
| January 12 | Theo Van Den Hurk | Section 9.2 |
| January 19 | Michael Yu | Sectio 9.3 |
| January 19 | Mathew Sunohara | Connections Between Ramsey Theory and Dynamics |
| January 26 | Dang Nguyen | Shannon entropy |
| February 2 | Freid Tong | Homeomorphisms of a circle |
| February 9 | David Pechersky | Roth's Theorem and Ergodic Theory |
| February 9 | Christopher Kennedy | General theory of Julia Sets |
| February 23 | Aleksey Van Leeuwarden | Period 3 implies chaos and Sarkovskii's Ordering |
| March 1 | Gideon Providence | Sarnak Conjecture |
| March 8 | Theo Van Den Hurk | Complex Dynamics |
| Tianchen Zhao | Inner Billiards | |
| March 15 | Xiao Zhao | Information uncertainty |
| Michael Yu | ??? | |
| March 22 | Xiao Zhao | Information uncertainty | March 29 | Pratyush Sarkar | Inner Billiards |
| March 29 | Jiayue Huang | Links between dynamical systems and number theory |
| April 5 | Robert Capozzolo | Generalized Poincare Bendixson Theorem |
| April 5 | Dong Wei | Hamiltonian mechanics |
Academic integrity
The University of Toronto Code of Behaviour on Academic Matters can be found here.
Accessibility needs
The University of Toronto is committed to accessibility. If you require accommodations for a disability, or have any accessibility concerns about the course, the classroom or course materials, please contact Accessibility Services as soon as possible: email disability.services@utoronto.ca or visit here.